I assume. Since theta is a variable, standing for the measure of any angle.
0.75
tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2
Negative 1.047197551 etc, etc.
If sin θ = tan θ, that means cos θ is 1 (since tan θ = (sin θ)/(cos θ)) (Usually in and equation a/b=a, b doesn't have to be 1 when a is 0, but cos θ = 1 if and only if sin θ = 0) The angles that satisfy cos θ = 1 is 2n(pi) (or 360n in degrees) When n is an integer. But if sin θ = tan θ = θ, the only answer is θ = 0. Because sin 0 is 0 and cos 0 is 1 and tan 0 is 0 The only answer would be when θ = 0.
sinθ = O/H cosθ = A/H tanθ = O/A cosθ*tanθ = A/H * O/A = AO/AH = O/H Therefore, sinθ = cosθtanθ = O/H (Notes: O=opposite, A=adjacent, H=hypotenuse)
Yes, it is.
Yes. (Theta in radians, and then approximately, not exactly.)
It also equals 13 12.
Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.
It depends if 1 plus tan theta is divided or multiplied by 1 minus tan theta.
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tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2
I'm asuming you meant "ten theta"the square of 5 is 2525 divided by 10 is 2.5so theta equals 2.5there you go =)
The tangent function (tan) in trigonometry is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. Mathematically, it can be expressed as ( \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} ). Additionally, in terms of sine and cosine, ( \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} ), where ( \theta ) is an angle in a right triangle or in the unit circle.
The identity for tan(theta) is sin(theta)/cos(theta).
tan(theta) = 1 then theta = tan-1(1) + n*pi where n is an integer = pi/4 + n*pi or pi*(1/4 + n) Within the given range, this gives theta = pi/4 and 5*pi/4
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